yes it is possible.
let's take a rectangle with 2 sides of 8 and 2 sides of 4
the area would be 32
and the perimeter would be 24
now, let's take another rectangle with 2 sides of 16 and 2 sides of 2
the area would be 32
and the perimeter would be 36
the areas are the same, but the perimeters are different.
therefore, it is possible.